BER performance due to irregularity of row-weight distribution of the parity-check matrix in irregular LDPC codes for 10-Gb/s optical signals

Journal of Lightwave Technology

Volumn 23, Issue 9, 2005, Pages 2673-2680

  Youn, Jinhyun ^a   Jang, Hodeok ^a   Kim, Kyoungsoo ^a   Jeong, Jichai ^a  

^a Korea University   (South Korea)

Author keywords

Belief propagation algorithm; Block codes; Forward error correction (FEC); Graph girth; Iterative decoding; Low density parity check (LDPC) codes; Optical communications; Sum product algorithm (SPA)

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; BIT ERROR RATE; BLOCK CODES; COMPUTER SIMULATION; DECODING; ENCODING (SYMBOLS); ERROR CORRECTION; LIGHT PROPAGATION; MATHEMATICAL MODELS; SELF PHASE MODULATION; TELECOMMUNICATION LINKS;

BELIEF PROPAGATION ALGORITHM; FORWARD ERROR CORRECTION (FEC); GRAPH GIRTH; ITERATIVE DECODING; LOW DENSITY PARITY CHECK (LDPC) CODES; OPTICAL SIGNALS; PARITY CHECK MATRIX; SUM PRODUCT ALGORITHM (SPA);

OPTICAL COMMUNICATION;

EID: 26844545492     PISSN: 07338724     EISSN: None     Source Type: Journal    
DOI: 10.1109/JLT.2005.853153     Document Type: Article

References (25)

1. G. Vareille, B. Julien, F. Pitel, and J. F. Marcerou, "3.65 Tb/s (365 × 11.6 Gb/s) transmission experiment over 6850 km using 22.2 GHz channel spacing in NRZ format," in Eur Conf. Optical Communications, Amsterdam, The Netherlands, Sep. 2001, vol. 6, pp. 14-15.
2. H. Kidorf, N. Ramanujam, I. Hayee, M. Nissov, J.-X. Cai, B. Pedersen, A. Puc, and C. Rivers, "Performance improvement in high capacity, ultralong distance, WDM systems using forward error correction codes," in Proc. Optical Fiber Communication Conf. (OFC), Baltimore, MD, Mar. 2000, vol. 3, pp. 274-276.
3. T. Richardson and R. Urbanke "The Renaissance of Gallager's low density parity check codes," IEEE Commun. Mag., vol. 41, no. 8, pp. 126-131, Aug. 2003.
4. D. J. C. Mackay and R. M. Neal, "Near Shannon limit performance of low density parity check codes," Electron. Lett., vol. 32, no. 18, pp. 1645-1646, Aug. 1996.
5. J. Li, K. R. Narayanan, and C. N. Georghiades, "Product accumulate codes: A class of codes with near-capacity performance and low decoding complexity," IEEE Trans. Inf. Theory, vol. 50, no. 1, pp. 31-46, Jan. 2004.
6. T. J. Richardson and R. L. Urbanke, "Efficient encoding of low-density parity-check codes," IEEE Trans. Inf. Theory, vol. 47, no. 2, pp. 638-656, Feb. 2001.
7. I. B. Djordjevic, S. Sankaranarayanan, and B. V. Vasic, "Projective plane iteratively decodable codes for WDM high-speed long-haul transmission systems," J. Lightw. Technol., vol. 22, no. 3, pp. 695-702, Mar. 2004.
8. I. Djurdjevic, S. Lin, and K. Abdel-Ghaffar, "Graph-theoretic construction of low-density parity-check codes," IEEE Commun. Lett., vol. 7, no. 4, pp. 171-173, Apr. 2003.
9. I. B. Djordjevic, B. V. Vasic, and S. Sankaranarayanan, "Regular and irregular low-density parity-check codes for ultra-long haul high-speed optical communications: Construction and performance analysis," presented at the Optical Fiber Communication Conf. (OFC), Los Angeles, CA, 2004, WM4.
10. A. Agata and N. Edagawa, "Performance analysis of forward error correction codes for various degradation factors in optical transmission system," presented at the Proc. Optical Fiber Communication Conf. (OFC), Copenhagen, Denmark, 2002. 9.1.6.
11. T. J. Richardson, M. A. Shokrollahi, and R. L. Urbanke, "Design of capacity-approaching irregular low-density parity-check codes," IEEE Trans. Inf. Theory, vol. 47, no. 2, pp. 619-637, Feb. 2001.
12. T. Tian, C. Jones, J. D. Villasenor, and R. D. Wesel, "Construction of irregular LDPC codes with low error floors," in IEEE Int. Conf: Communications (ICC), Anchorage, AK, May 2003, vol. 5, pp. 3125-3129.
13. D. J. C. Mackay, "Good error-correcting codes based on very sparse matrices," IEEE Trans. Inf. Theory, vol. 45, no. 2, pp. 399-431, Mar. 1999.
14. R. Gallager, "Low-density parity-check codes," IEEE Trans. Inf. Theory, vol. 8, no. 1, pp. 21-28, Jan. 1962.
15. Y. Kou, S. Lin, and M. P. C. Fossorier, "Low-density parity-check codes based on finite geometry: A rediscovery and new results," IEEE Trans. Inf. Theory, vol. 47, no. 7, pp. 2711-2736, Nov. 2001.
16. M. P. C. Fossorier, M. Mihaljević, and H. Imai, "Reduced complexity iterative decoding of low-density parity-check codes based on belief propagation," IEEE Trans. Commun., vol. 47, no. 5, pp. 673-680, May 1999.
17. J. Lee, S. K. Kim, Y. Kim, O. Mizuhara, G. Lyu, S.-S. Kang, J.-H. Song, and J. Jeong, "Performance evaluation and prediction using eye margin characteristics for optical transmission systems," Opt. Commun., vol. 193, no. 1-6, pp. 113-120, 2001.
18. 3-based transmitters with adjustable extinction ratio and chirp," J. Lightw. Technol., vol. 17, no. 8, pp. 1320-1325, Aug. 1999.
19. Y. Kim, S. Kim, I. Lee, and J. Jeong, "Optimization of transmission performance of 10-Gb/s optical vestigial sideband signals using electrical dispersion compensation by numerical simulation," J. Sel. Topics Quantum Electron., vol. 10, no. 2, pp. 371-375, Mar./Apr. 2004.
20. H. Lee, H. Yoon, Y. Kim, and J. Jeong, "Theoretical study of frequency chirping and extinction ratio of wavelength-converted optical signals by XGM and XPM using SOA's," IEEE J. Quantum Electron., vol. 35, no. 8, pp. 1213-1219, Aug. 1999.
21. Y. Kim, H. Jang, J. Lee, I. Lee, M. Kim, and J. Jeong, "Improvement of SPM tolerance for phase-modulated duobinary transmission using phase modulator with postfiltering technique," IEEE Photon. Technol. Lett., vol. 15, no. 12, pp. 1785-1787, Dec. 2003.
22. J. Lee, H. Jang, Y. Kim, S. Choi, S. G. Park, and J. Jeong, "Chromatic dispersion tolerance of new duobinary transmitters based on two intensity modulators without using electrical low-pass filters," J. Lightw. Technol., vol. 22, no. 10, pp. 2264-2270, Oct. 2004.
23. G. P. Agrawal, Nonlinear Fiber Optics. New York: Academic, 1989.
24. E. Choi, J. Lee, and J. Jeong, "Modeling and verification of FEC pera formance for optical transmission systems using a proposed uniformly quantized symbol error probability model," in Proc. Optical Fiber Communication Conf. (OFC), Atlanta, GA, Mar. 2003, vol. 1, pp. 94-96.
25. L. E. Nelson, R. M. Jopson, H. Kogelnik, and G. J. Foschini, "Measurement of depolarization and scaling associated with second-order polarization mode dispersion in optical fibers," IEEE Photon. Technol. Lett., vol. 11, no. 12, pp. 1614-1616, Dec. 1999.